Answer :
Let's solve the given equation step-by-step to find the value of [tex]\( x \)[/tex].
We are starting from this equation after Karissa's work:
[tex]\[
\frac{1}{2}x + 4 = -\frac{1}{2}x + 4
\][/tex]
First, let's subtract 4 from both sides to simplify the equation:
[tex]\[
\frac{1}{2}x = -\frac{1}{2}x
\][/tex]
Now, to isolate [tex]\( x \)[/tex], add [tex]\(\frac{1}{2}x\)[/tex] to both sides:
[tex]\[
\frac{1}{2}x + \frac{1}{2}x = 0
\][/tex]
This simplifies to:
[tex]\[
x = -1
\][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\(-1\)[/tex].
We are starting from this equation after Karissa's work:
[tex]\[
\frac{1}{2}x + 4 = -\frac{1}{2}x + 4
\][/tex]
First, let's subtract 4 from both sides to simplify the equation:
[tex]\[
\frac{1}{2}x = -\frac{1}{2}x
\][/tex]
Now, to isolate [tex]\( x \)[/tex], add [tex]\(\frac{1}{2}x\)[/tex] to both sides:
[tex]\[
\frac{1}{2}x + \frac{1}{2}x = 0
\][/tex]
This simplifies to:
[tex]\[
x = -1
\][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\(-1\)[/tex].